Two friends A and B play a game, throwing a fair die alternately, the first to throw a '5' winning. A throws first. Find the probability that he wins. *

Q: Suppose a jar contains 14 red marbles and 20 blue marbles. If you reach in the jar and pull out 2…

A: Given, no of red marbles=14 no of blue marbles=20 Total marbles=34 P(both are red.)=?

Q: A bag contains 3 yellow and 5 black balls. if 2 balls are drawn in succession without replacement,…

A: Given,no.of yellow balls=3no.of black balls=5total no.of balls=8

Q: A family's cat is pregnant with 4 kittens. If the probability each kitten will be gray like the…

A: here from given information  p = probability of kitten is not gray  =  1 - 0.49 = 0.51  n =  4

Q: Suppose a jar contains 5 red marbles and 31 blue marbles. If you reach in the jar and pull out 2…

A: Solution

Q: Two cards are drawn at random from an ordinary deck of 52 playing cards one at a time with…

A: Two cards are drawn at random from an ordinary deck of 52 playing cards one at a time with…

Q: A bag contains 3 white balls and 5 black balls. If two balls are drawn in succession without…

A:

Q: If the probability is 0.4 that a student passes all his classes,what is the probability that out of…

A: Given: p = 0.4 n = 19 This is the binomial distribution.

Q: Two Cards are drawn from a deck of 52 cards. If the first is not replaced, calculate the probability…

A: There are 4 jack and 4 queen respectively in the deck of 52 cards.

Q: Suppose that two balanced dice are tossed repeatedly and the sum of the two uppermost faces is…

A: Answer is given below.

Q: The probability that a boy will get a scholarship is 0.9 and that a girl will get is 0.8. What is…

A:

Q: A pair of dice is rolled. If the sum on the two dice is 9, find the probability that one of the dice…

A:

Q: Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2…

A:

Q: A coin has a probability of p = 0.5 for getting a head in each toss. And it was tossed 6 times. What…

A: Given: Probability of heads (1 - p) = 0.50 Probability of success or tails (p) = 1 - 0.50…

Q: Each year, a company either makes a profit or takes a loss. If the company made a profit the year…

A: Given See the hand written answer

Q: Two dice are rolled. Find the probability that first die lands on an even number and the second die…

A: The sample space of all the 36 possible outcomes for the two dice is shown below:

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: This is a problem related to probability. Please follow the procedure given below.

Q: A die is thrown once with S= {1,2,3,4,5,6}. The probability of getting a number not less than 2 is

A: If a die is thrown, then we get sample space as, S ={1,2,3,4,5,6} i.e. n(S)=6 Let E be the events…

Q: A day of the week is chosen at random. What is the probability of choosing a Monday or Tuesday?

A:

Q: if the probability is 0.4 that a student passes all his cases, what is the probability that out of…

A:

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: Let us denote X=the number of patients having the operation surviven=sample size=7p=probability of…

Q: According to a survey, the probability that a family owns 2 cars if its annual income greater than…

A:

Q: If two fair dice are rolled, find the probability that the result is either sum of 8 or sum is…

A: If two dice are rolled then the sample space obtained is as follows: Ω={1,1,1,2,1,3,1,4,1,5,1,6,…

Q: Suppose 5% of the population have a certain disease. A laboratory blood test gives a positive…

A: The probability of having a disease P(D)=0.05 The probability that the lab will give a positive…

Q: A bag contains 20 white marbles, 6 red marbles, 11 blue marbles, and 8 yellow marbles. If a marble…

A: White marbles = 20 Red marbles = 6 Blue marbles = 11 Yellow marbles = 8 Total marbles = 20 + 6 +11 +…

Q: If a person is picked at random from this group, find the probability that a) the person is a male,…

A: The data is given by   Male Female Total Elementary 38 45 83 Secondary 28 50 78 College 22…

Q: If the probability of being hospitalized during a year is 0.25. Find the probability that no one is…

A: X has binomial distribution. X~binomial(n,p)n=3p=0.25probability mass function of X;…

Q: A die is rolled 10 times. What is the probability of getting “a 6 “exactly 5 times?

A:

Q: A group of 3 boys and 2 girls are seated in a row of 5 chairs. Find the probability that they will…

A: Answer: 3! 2!5! OR 3!×2!5!=12120

Q: A bag contains 3 white balls and 5 red balls. If two balls are drawn at random, find the probability…

A: 3 white and 5 red balls

Q: Suppose you have 5 marbles in a bag: 3 red and 2 black. If you reach into the bag without looking…

A:

Q: A bag contains 6 red and 10 blue marbles. 3 marbles are drawn at random from the bag. Then the…

A:

Q: Two students are chosen at random from a class of 30. What is the probability that both you and your…

A: We will find the solution in the following step.

Q: A pair of fair dice is tossed. If the sum is 6, find the probability that one of the die is 2.

A: ### Given pair of fair dice is tossed then        Sample space (S)…

Q: Two dice are thrown 5 times. If getting a double is a success, find the probability that getting the…

A:

Q: A bag contains 4 black balls and 4 white balls. Suppose one draws two balls at the time, until the…

A: Probability: Probability is about estimating or calculating how likely or 'probable' something is to…

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: Given n=7 P=0.9

Q: A coin is weighted in such a way that it lands "heads side up" 70% of the time. The coin is to be…

A: Given that p =0.7 ,n=8,k=5 Using negative binomial distribution Find the probability given

Q: A pair of dice is rolled. What is the probability that the sum will come up to be an even number and…

A: Favourable outcome of getting an even sum on the two dice given that one of them is 6 is given by =…

Q: Suppose we roll a die once. What is the probability that we roll a 4 or an even number?

A: Let A be the event of getting 4 on rolling the dice and B be the event of getting an even number.…

Q: Two cards are drawn without replacement from an ordinary deck, find the probability that the second…

A:

Q: A die is riled five times. Find the probability of getting 4 exactly three times

A:

Q: Suppose a jar contains 12 red marbles and 13 blue marbles. If you reach in the jar a pull out 2…

A: There are 12 red marbles and 13 blue marbles. Thus, there are 25 marbles in total.

Q: The probability that a patient recovers from a delicate heart operation is 0.9. What is the…

A: From the provided information, The probability that a patient recovers from a delicate heart…

Q: Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular…

A: Solution: Let A be event that a person in the U.S has diabetes and B be the event that a person in…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9 given that the sum…

A: Given that the sum is greater than 6.  So the sample space for this is: (1,6) , (2,5) , (2,6) ,…